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Finding the Third Proportional to 265,716 and 400,788

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Solution

The third proportional to 265,716 and 400,788 is: 604,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,716 : 400,788 = 400,788 : x
  2. Step 2: Convert to fraction form
    265,716/400,788 = 400,788/x
  3. Step 3: Cross multiply
    265,716x = 400,788 × 400,788
  4. Step 4: Simplify right side
    265,716x = 160,631,020,944
  5. Step 5: Solve for x
    x = 160,631,020,944/265,716
  6. Step 6: Final answer
    x = 604,521.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.